Question

Answer and explanation on how to do it please.

Answer 1

The slope intercept form of the given linear function is y = 4 x + 1

Explanation:

Let two points A(1,5) and B(2,9) be the points on the given equation.

Now, slope of the line AB is given as
`m = (y_2 - y_1)/(x_2 - x_1)`

`\implies  m = (9 -5)/(2-1)  = 4`

So, the SLOPE of the line AB = 4

Now, by POINT SLOPE formula,

The equation of line with (x0,y0) and slope m is given as

(y-y0) = m (x-x0)

So,here the equation with m = 5 and point (1,5) is given as:

y - 5 = 4(x - 1)

or, y - 4x = 1

So, the SLOPE INTERCEPT form of the equation is y = m x + C

or, y = 4 x + 1 , slope = 4, intercept = 1

Hence, the slope intercept form of the given equation s y = 4x + 1